Remember the Ottomans took Constantinople in the 16th century (Capita of the E. Roman Empire aka Byzantium) and converted the largest Cathedral in the World into a Mosque.
The 'West' would have been referred to as 'Christendom' then, and the issue wasn't resolved until into the enlightenment, 1683, Battle of Vienna.
'Christendom v. Ottomans' is the original 'Cold War'.
One might argue that there are echoes in the Battle of Vienna in Lord of the Rings.
'Political Islam', as we've seen since the 1980's has basically nothing to do with any of that.
FYI a little known, crazy fact (which is likely but not infallibly accurate): you know your 'Croissant'? That delicacy was designed in Vienna by chefs in celebration of their victory in the battle, hence the crescent shape of the bread is literally the Islamic Crescent. [1]
[1] https://en.wikipedia.org/wiki/Battle_of_Vienna [2] https://www.theguardian.com/lifeandstyle/2016/feb/23/a-short....
Christianity vs islam is a long theme in our history.
You badly misread the crusades as well - the crusaders and the byzantines collaborated. In fact, the byzantines welcomed the crusaders and often helped them in military matters - the crusaders states were used as a buffer from the armies of islam.
The crusaders did attack and plunder constantinople, but this was after the first crusades ; in fact, a couple decades before the sack Latins were sold into slavery and massacred by the byzantines. Reading a single event and turning it into a pattern for latin and byzantine relations in the era is at best sophomoric and at worst dissembling.
The "West vs Islam" is just a particular inane categorization since you are contrasting a geographic area with a religion. You could categorize the Reconquista as Christianity against Islam (and Judaism), and this is how it was framed at the time, but how can it be "the West" against Islam? It is a post-cold war construct to justify a certain ideology, not a meaningful way of understanding history.
If you think of the crusades they were more like Roman Catholicism against Islam (and Judaism and Eastern Christianity). For example the crusaders attacked and plundered Constantinople which was Christian at the time - just not catholic.
England have certainly been to war with France more than it has been to war with "Islam".